ASVAB Practice Test

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Prepare for your ASVAB Test. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

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If (4/3) * (3/4) = 5k, then k = ?

The correct answer is: 3/4

To determine the value of $ k $ in the equation $ (4/3) * (3/4) = 5k $, we first simplify the left side of the equation. When we multiply $ (4/3) $ and $ (3/4) $, we can observe that the $ 3 $ in the numerator of $ (4/3) $ and the $ 3 $ in the denominator of $ (3/4) $ will cancel each other out. The same applies to the $ 4 $ in the numerator of $ (3/4) $ and the $ 4 $ in the denominator of $ (4/3) $. Hence, we are left with: \[ (4/3) * (3/4) = (4*3)/(3*4) = 12/12 = 1 \] Now the equation simplifies to: \[ 1 = 5k \] Next, to isolate $ k $, we divide both sides of the equation by $ 5 $: \[ k = 1/5 \] So, the value of $ k $ is \( 1